Modifying hyperkaehler manifolds with circle symmetry

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dc.creatorDancer, Andrew
dc.creatorSwann, Andrew
dc.date2005-10-24
dc.date2005-10-25
dc.date.accessioned2026-07-07T06:47:50Z
dc.date.available2026-07-07T06:47:50Z
dc.descriptionA construction is introduced for modifying hyperkaehler manifolds with tri-Hamiltonian circle action, that in favourable situations increases the second Betti number by one. This is based on the symplectic cut construction of Lerman. In 4 or 8 dimensions the construction may be interpreted as adding a D6-brane. A number of examples are given and generalisations to three-Sasaki and hypersymplectic geometry discussed.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0510501
dc.identifierhttp://arxiv.org/abs/math/0510501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103783
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject53C26; 53D20, 57S25, 57N65
dc.titleModifying hyperkaehler manifolds with circle symmetry
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